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The Potts Model on a Bethe Lattice in an External Field

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A solution for the Potts model with arbitrary number of states on a Bethe lattice in a nonzero external field has been obtained. A line of first-order phase transitions has been constructed in the temperature – external-field plane, terminating at the point of the second-order phase transition. The magnitude of the magnetization jump on the phase-transition lines has been found, as well as some of the critical exponents characterizing this phase transition.

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Authors and Affiliations

  1. Vladivostok State University of Economics and Service, Vladivostok, Russia

    S. V. Semkin & V. P. Smagin

Authors
  1. S. V. Semkin
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  2. V. P. Smagin
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Correspondence to S. V. Semkin.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 120–125, October, 2016.

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Semkin, S.V., Smagin, V.P. The Potts Model on a Bethe Lattice in an External Field. Russ Phys J 59, 1656–1662 (2017). https://doi.org/10.1007/s11182-017-0957-2

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  • DOI: https://doi.org/10.1007/s11182-017-0957-2

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